Fill in the blanks.
The ratio of the number of women to the number of men in Class A is 3 : 1.
The ratio of the number of women to the number of men in Class B is 7 : 8.
The number of women is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of men in Class A and Class B = _____ u
- Total number of women = _____ u
- Total number of men = _____ u
(a)
Class A |
Class B |
Women |
Men |
Women |
Men |
3 x 7 |
1 x 7 |
7 x 3 |
8 x 3 |
21 u |
7 u |
21 u |
24 u |
Change ratio into units.
The number of women in Class A and Class B is the same.
LCM of 3 and 7 = 21
Number of students in Class A
= 21 u + 7 u
= 28 u
Number of students in Class B
= 21 u + 24 u
= 45 u
Difference in the number of students in Class A and Class B
= 45 u - 28 u
= 17 u
(b)
Number of men in Class A = 7 u
Number of men in Class B = 24 u
Difference in the number of men in Class A and Class B
= 24 u - 7 u
= 17 u
(c)
Number of women in Class A = 21 uNumber of women in Class B = 21 u Total number of women = 21 u + 21 u= 42 u (d)
Total number of men in Class A and Class B
= 24 u + 7 u
= 31 u
Answer(s)
: (a) 17; (b) 17; (c) 42; (d) 31